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Is Integer N even?

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NEWKID
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Is Integer N even? [#permalink] New post   11 Nov 2004, 18:19
Is Integer N even?

1.N*N=N
2.N=N^3


My question here is-Will you treat 0 as an even number.:wall
As my understanding goes, 0 is neither an even number nor an odd number.



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Re: Is Integer N even? [#permalink] New post   11 Nov 2004, 18:30
0 is even
0 is not positive nor negative

Answer is E
1- {0,1}
2- {0,1}
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Re: Is Integer N even? [#permalink] New post   11 Nov 2004, 18:35
Paul agreed.

Tell me if the below statements are also true

a) 0 is an integer.
b) 0 is an even number.
c) Prime Numbers cannot be negative.

Well, DS is killing me....do u have any more fundamental rules to add here.
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Re: Is Integer N even? [#permalink] New post   Updated on: 14 Nov 2004, 00:35
Agree with all. I bet the question you posted was an old one from Stolyar :wink: Exponents and mods are his specialty. Some more fundas:

0^0 is undefined
0^x = 0
x^0 = 1
LCM(a,b) * GCD(a,b) = a*b
Sum of first n positive consecutive integers(you may know this by now): n(n+1)/2

Originally posted by Paul on 11 Nov 2004, 18:40.
Last edited by Paul on 14 Nov 2004, 00:35, edited 1 time in total.
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Re: Is Integer N even? [#permalink] New post   12 Nov 2004, 01:02
1. N=0,1; Hence, not A
2. N=-1,0,1; Hence, not B
Both are still not sufficient to determine a unique value of N. Hence (E).
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Re: Is Integer N even? [#permalink] New post   12 Nov 2004, 08:47
Paul wrote:
Sum of first n positive integers(you may know this by now): n(n+1)/2


I never thought about that one! Thanks, Paul.

:woohoo
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Re: Is Integer N even? [#permalink] New post   12 Nov 2004, 09:39
Paul wrote:
Sum of first n positive integers(you may know this by now): n(n+1)/2


Paul I am assuming here you also mean sum of consecutive integers. If so I think the average * number of terms is another of expressing the formula?! I am correct? :? :?: :!:
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Re: Is Integer N even? [#permalink] New post   13 Nov 2004, 10:04
agree with E as well



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Re: Is Integer N even? [#permalink]
13 Nov 2004, 10:04
Moderator:
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